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A modified Krasnosellkii-Mann algorithms for computing fixed points of multivalued quasi-nonexpansive mappings in Banach spaces.
- Source :
-
Creative Mathematics & Informatics . 2019, Vol. 28 Issue 2, p191-198. 8p. - Publication Year :
- 2019
-
Abstract
- It is well known that Krasnoselskii-Mann iteration of nonexpansive mappings find application in many areas of mathematics and know to be weakly convergent in the infinite dimensional setting. In this paper, we introduce and study an explicit iterative scheme by a modified Krasnoselskii-Mann algorithm for approximating fixed points of multivalued quasi-nonexpansive mappings in Banach spaces. Strong convergence of the sequence generated by this algorithm is established. There is no compactness assumption. The results obtained in this paper are significant improvement on important recent results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*SET-valued maps
*NONEXPANSIVE mappings
*ALGORITHMS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 1584286X
- Volume :
- 28
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Creative Mathematics & Informatics
- Publication Type :
- Academic Journal
- Accession number :
- 137618498
- Full Text :
- https://doi.org/10.37193/cmi.2019.02.10